Which measurements
can determine native action?
An exact criterion separates a sufficient set of independent anchors from measurements that leave the action scale free.
The anchor exponents must determine action.
Write each independently mapped anchor as yj=kjB0pⱼa0qⱼτ0rⱼ. Collect the exponents into W. The native action A0=B0a02/τ0 is identifiable exactly when (1,2,−1) lies in the row span of W.
If the condition fails, an explicit positive rescaling preserves every anchor while changing action. If it passes, a row-span certificate gives a direct product estimator. Full rank three is sufficient but unnecessary.
Energy and time suffice under the declared map.
| Independent native anchors | Result |
|---|---|
| Length and time | Insufficient: mass scale stays free |
| Energy E0 and time τ0 | A0=E0τ0 |
| Direct action | One valid action anchor suffices |
The physical apparatus-to-native map must be independently supported. A circuit’s measured energy times time cannot simply be relabeled as native action.
A scoped typed contract rejects the source defect.
Eighteen transcribed equalities pass dimensional checks across 17 bound source rows. The original O13 chain is rejected; the proposed separated reciprocal and action identities pass. The other 706 ledger rows remain outside this contract.
Negative controls reject energy-plus-action addition, a dimensional sine argument and an energy-typed B0. Exact rational checks cover 2,952 anchor banks and their ambiguity witnesses.
Inspect typed action contract →Read the recovered source ledger and correction →Freeze the map before scoring the prediction.
For a fixed certificate c, bounded log-anchor errors propagate as |log(Â0/A0)|≤Σ|cj|εj. This deterministic statement does not establish measurement coverage.
The next experimental return must supply the same-carrier map, coefficients, exponent matrix, target-blind calibration provenance, uncertainty bounds and frozen decision rule. Non-constructor review precedes scoring. QPB1’s ηA=2/1 remains quarantined; no experiment or physical promotion occurs here.